Задание
Найдите значение числовых выражений:
\(\displaystyle 2^{3}=\), \(\displaystyle 5^{2}=\), \(\displaystyle 7^{3}=\)
Решение
Для вычисления значений степеней небольших чисел воспользуемся таблицей степеней (которую желательно знать наизусть).
Информация
Степени числа \(\displaystyle 2:\)
| \(\displaystyle \color{blue}{2^{2}}\) | \(\displaystyle \color{blue}{2^{3}}\) | \(\displaystyle \color{blue}{2^{4}}\) | \(\displaystyle \color{blue}{2^{5}}\) | \(\displaystyle \color{blue}{2^{6}}\) | \(\displaystyle \color{blue}{2^{7}}\) | \(\displaystyle \color{blue}{2^{8}}\) | \(\displaystyle \color{blue}{2^{9}}\) | \(\displaystyle \color{blue}{2^{10}}\) |
| \(\displaystyle \bf \color{blue}{4}\) | \(\displaystyle \bf \color{blue}{8}\) | \(\displaystyle \bf \color{blue}{16}\) | \(\displaystyle \bf \color{blue}{32}\) | \(\displaystyle \bf \color{blue}{64}\) | \(\displaystyle \bf \color{blue}{128}\) | \(\displaystyle \bf \color{blue}{256}\) | \(\displaystyle \bf \color{blue}{512}\) | \(\displaystyle \bf \color{blue}{1024}\) |
Степени числа \(\displaystyle 3:\)
| \(\displaystyle \color{green}{3^{2}}\) | \(\displaystyle \color{green}{3^{3}}\) | \(\displaystyle \color{green}{3^{4}}\) | \(\displaystyle \color{green}{3^{5}}\) | \(\displaystyle \color{green}{3^{6}}\) |
| \(\displaystyle \bf \color{green}{9}\) | \(\displaystyle \bf \color{green}{27}\) | \(\displaystyle \bf \color{green}{81}\) | \(\displaystyle \bf \color{green}{243}\) | \(\displaystyle \bf \color{green}{729}\) |
Степени числа \(\displaystyle 4:\)
| Степени числа \(\displaystyle 5:\)
|
Степени числа \(\displaystyle 6:\)
| Степени числа \(\displaystyle 7:\)
| Степени числа \(\displaystyle 8:\)
| Степени числа \(\displaystyle 9:\)
|
Таким образом,
\(\displaystyle 2^{3}={\bf 8},\,\, 5^{2}={\bf 25},\,\, 7^{3}={\bf 343}.\)